Lagrange exponential stability of quaternion‐valued memristive neural networks with time delays

Abstract

This paper investigates the Lagrange global exponential stability of the quaternion‐valued memristive neural networks (QVMNNs). Two kinds of activation functions based on different assumptions are considered. Then, based on the Lyapunov function approach, decomposition method, and some inequality skills, two novel sufficient conditions for lagrange stability of QVMNNs are provided corresponding to different types of activation functions. Lastly, simulation examples are provided to demonstrate the correctness of our theoretical results.